Math Multiplication Worksheet - PowerPoint

							8.1
        Multiplication Properties of
                         Exponents

      Goal
      Use multiplication properties of
      exponents.
      Key Words
         •power
         •base
         •exponent
 EXAMPLE       1   Use the Product of Powers Property

Rewrite the following in exponential notation.

    aaaaaaa
    mmmmm
Rewrite the following in expanded notation.
          4
      c
      n2 p 4

          6
      x
 EXAMPLE         2   Use the Product of Powers Property

Simplify by first writing in expanded form and then in
exponential form.

  a a
    2        3


  4 2  43
  53  5 6
  2( 2) 4
  x x x
   2     3       4
 EXAMPLE          3   Use the Product of Powers Property

Write the expression as a single power of the base.

 4 4
   2    3


( 3) 2  ( 3)
a a    7


n n n
  5    2     3
 EXAMPLE      4    Use the Power of a Power Property

Write the expression as a single power of the base.


 a 
    2 3



 3 
   3 2



p 4 4
 EXAMPLE        5   Use the Product of a Power Property

Simplify the expression.

  a. ( 6  5) 2




  b.   4yz 3
Checkpoint        Use the Power of a Product Property

Simplify the expression.

1.   2 4   3
                                  2.   ( 3  5) 2



              6                                  2
3.   ( 2 w)                       4.    (7 z )
 EXAMPLE      6    Use All Three Properties

Simplify the expression:   4x   x
                              2 3      5
Checkpoint          Use All Three Properties

Simplify the expression.

1.   4x 
        3 4                         2.     3a  4 2




3.      
     9  9z   5 2
                                     4.   n   n
                                            2 3      7
  Homework
worksheet 8.1C